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Oceňování opcí pomocí Monte Carlo metod
Waldeckerová, Naďa ; Witzany, Jiří (advisor) ; Vacek, Vladislav (referee)
This thesis aims to analyse different Monte Carlo methods when applied to the problem of option pricing. Closer attention is paid to three variance reduction techniques, namely control variathes, importance sampling and antithetic variables, and two different approaches, least-squares Monte Carlo and quasi-Monte Carlo methods. The detailed analysis of the differences and improvements is done on a problem of plain vanilla option pricing. At the end the methods are each applied to valuation of different exotic options.
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A comparison of the Black-Scholes model with the Heston model
Obhlídal, Jiří ; Málek, Jiří (advisor) ; Fičura, Milan (referee)
The thesis focuses on methods of option prices calculations using two different pricing models which are Heston and Black-Scholes models. The first part describes theory of these two models and conlcudes with a comparison of the risk-neutral measures of these two models. In the second part, the relations between input parameters and the option price generated by these models are clarified. This part ends up with an analysis of the market data and it answers the question which model predicts better.
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The currency derivatives and their use for hedging of currency rate risk
Bartoš, Ondřej ; Málek, Jiří (advisor) ; Staniek, Dušan (referee)
My Bachelor s thesis deals with the analysis of currency derivatives and their use for hedging of currency rate risk. In the first part (chapters 1 and 2) the thesis describes foreign exchange markets and currency rate risk. In the second part (chapters 3 to 7) the thesis describes derivative instruments, in particular currency forwards, foreign exchange swaps and currency swaps, currency futures and currency options. In my thesis I focused only on the potential of hedging currency rate risk. The bachelor s thesis is theoretical and drew from Czech book publications, foreign book publications, information sources of the financial institutions and real statistical data. Based on the combination of theoretical facts and exact data the thesis illustrates that financial derivatives offer effective solution for hedging of currency rate risk a their use prevents future financial losses of the negative development of currency rates.
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Volatilní úsměv
Stolbov, Anatoly ; Witzany, Jiří (advisor) ; Fičura, Milan (referee)
The thesis describes and applies two parametric option pricing models which partially ease the well-known discrepancy between real world and Black-Scholes model. Stochastic volatility and jumps encompassed by Heston and SVJ models explain implied volatility smile and its heterogeneous term-structure. Both models are calibrated to market data observed for EURUSD currency options on January 23, 2015. While SVJ model provided a better fit for the market, especially for mid-term expiry smile curvature, its estimated risk-neutral parameters were unrealistic comparing with their counterparts under statistical measure. Estimations suggest zero long term price volatility and 2 jumps during the year with average magnitude of 6 \%. Both models failed to match curvature of short time to expiry smile and provided a good fit of term-structure and long-expiry smile. Analysing delta ratios adjusted for non-constant volatility as a possible alternatives the study considered minimum variance delta estimated with Heston model, delta ratio recommended by Nassim Taleb and two deltas adjusted for local volatility assuming sticky moneyness and sticky tree dynamics of implied volatility. On data set of EURUSD options from 1.1.2014 to 30.5.2015, our research did not find any alternative which would be more reliable than common Black-Scholes delta.
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FOREX and Option strategies
Štěpánek, Tomáš ; Zámečník, Petr (advisor) ; Smrčka, Luboš (referee)
This thesis deals with currency market FOREX and currency option strategies. The aim is to analyze possibilities of companies that want to hedge against currency risk with the financial derivatives. In the beginning of the thesis there is a characteristics of a currency market, explanation of how it works and principals of option strategies. In the first part I will state the most important events that formed the market how it is today. Followed by the mechanism of trading on the currency market, characteristics of the participants of the market and trading session and also causes of the long-term and short-term movements of exchange rates on the currency market. Continued by explanation of the technical analysis. In the next part there is a characteristics and definition of options. The point of the bachelor s thesis consist of detailed explanation and application of option strategies including their graphical interpretation.
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Specifics of Currency Transactions in International Companies
Gregová, Silvia ; Taušer, Josef (advisor) ; Orsagova, Lucie (referee)
International companies perform business transactions in different countries all over the world and must be able to manage their financial assets in various currencies. Significant foreign exchange alteration can markedly harm market value of any company. The companies use so called 'hedging' to avoid such situations. The aim of this master thesis is to analyze specifics of currency operations based on a case study in the international company and its transaction exposure. The thesis discovers that the selected company uses only two types of 'hedging'.
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Commodity price risk hedging
Pospíšil, Jakub ; Taušer, Josef (advisor) ; Čajka, Radek (referee)
The thesis presents and applies modern theory of hedging. It determines optimal hedging strategies for Strabucks and GlencoreXstrata corporations on coffee bean and high-grade copper markets. Through these two case studies the theoretical models are tested and assessed based on their relevance to business needs.
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Vývoj struktury devizového trhu se zaměřením na Hongkong a Singapur
Vu, Thi Lan Anh ; Brůna, Karel (advisor) ; Šíma, Ondřej (referee)
Bachelor thesis analyses the development of the structure of the foreign exchange market. The theoretical part describes global foreign exchange market, its core and functions, subjects entering to the market and also the technique of performing operations. The empirical part focuses on the development of the foreign exchange market in Hong Kong and afterward this market is compared to the foreign exchange market in Singapore, which foreign exchange markets are the world's financial centres.
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The use of currency futures in the business in terms of CR
ŘÍHOVÁ, Jana
Thesis "The use of currency futures in the business in terms of CR" deals with financial derivatives. Defines the various types of derivatives, their history and development of currency futures and forward contracts in the CR and in the world. Another part is devoted to the use of currency futures and forwards in the business in the Czech Republic. The thesis is to evaluate the evolution of exchange rates EUR/CZK and USD/CZK.
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